instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the greatest common factor of 1728 and 2140776?\n | 216\n | ibivibiv/math_instruct | |
Calculate the common denominator of -1/144 and -79/33.\n | 1584\n | ibivibiv/math_instruct | |
Let n be ((-2132)/130)/((-2)/10). Let i be (-2 - n/(-10)) + -6. Which is the biggest value? (a) i (b) 5 (c) 2 (d) 1/2\n | b\n | ibivibiv/math_instruct | |
Let u(z) = -6*z. Let w(b) be the first derivative of -9*b**5/20 + 35*b**2/2 - 80. Let y(j) be the second derivative of w(j). Determine y(u(h)).\n | -972*h**2\n | ibivibiv/math_instruct | |
Let c be 2 + 2/(6/(-3)). What is the greatest common factor of 2 and c?\n | 1\n | ibivibiv/math_instruct | |
Let -199*v**4/4 - 2527103*v**3/4 + 3778649*v**2/2 - 1244797*v - 12702 = 0. Calculate v.\n | -12702, -2/199, 1, 2\n | ibivibiv/math_instruct | |
Sort -7, -1, -557, 6 in decreasing order.\n | 6, -1, -7, -557\n | ibivibiv/math_instruct | |
Let j(y) be the second derivative of -y**5/150 - y**4/9 - 11*y**3/15 - 12*y**2/5 + 5*y - 7. Find w, given that j(w) = 0.\n | -4, -3\n | ibivibiv/math_instruct | |
Is 7 a factor of (-2 - -19) + (-12)/(-3)?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in 16 + 11 + 6*t - 49 + 24.\n | 6*t + 2\n | ibivibiv/math_instruct | |
What is -78 divided by -3?\n | 26\n | ibivibiv/math_instruct | |
Suppose -r - r = -44. Calculate the remainder when 40 is divided by r.\n | 18\n | ibivibiv/math_instruct | |
Expand (u**2 + 0*u**2 + u**2)*(-4*u**2 - 2*u**2 + 4*u**2) + (3*u**2 + 2*u**2 - 2*u**2)*(-2*u**2 + 2*u**2 + 2*u**2).\n | 2*u**4\n | ibivibiv/math_instruct | |
What is the value of -1 + -1 - (-23 - -5)/6?\n | 1\n | ibivibiv/math_instruct | |
List the prime factors of 103818.\n | 2, 3, 11, 13\n | ibivibiv/math_instruct | |
Let t(l) = -5*l**2 + 6*l + 5. Let n(j) = 8*j - 10 - 21*j + j + 9*j**2. Let h(d) = -4*n(d) - 7*t(d). What is h(6)?\n | 5\n | ibivibiv/math_instruct | |
Let k(i) = -129998*i + 2. Suppose 2*v = -5*x + x - 2, 0 = 2*x + 2*v. Let t be k(x). What is t rounded to the nearest one hundred thousand?\n | 100000\n | ibivibiv/math_instruct | |
Simplify ((r**(-1)*r)**(-1/79)/(r**(-1)*r*((r*r*r/(r*r*r**6*r))/r)/r))**(7/9) assuming r is positive.\n | r**(56/9)\n | ibivibiv/math_instruct | |
-0.025358759 times 2\n | -0.050717518\n | ibivibiv/math_instruct | |
Differentiate 708*f**4 + 3*f**3 - 2*f**2 + 81*f + 3196167.\n | 2832*f**3 + 9*f**2 - 4*f + 81\n | ibivibiv/math_instruct | |
Let a(g) = 2*g**3 + g**2 + 14*g - 5. Let u(y) = -2*y**3 - y**2 - 15*y + 4. Calculate 2*a(w) + 3*u(w).\n | -2*w**3 - w**2 - 17*w + 2\n | ibivibiv/math_instruct | |
Express (0*o - 6*o + 4*o)*(-10 + 1 + 8)*(7 - 1 - 4) in the form m + q*o and give m.\n | 0\n | ibivibiv/math_instruct | |
Let f be (4/(-10))/((-7)/(-35)). Let p(j) = j**3 + 6*j**2 + 3*j + 1. Let b be p(f). What is the highest common divisor of b and 44?\n | 11\n | ibivibiv/math_instruct | |
Round -72246 to the nearest ten thousand.\n | -70000\n | ibivibiv/math_instruct | |
Calculate -1*(-1131)/(-29)*1.\n | -39\n | ibivibiv/math_instruct | |
Suppose 5*a - 14 = -4. Let n(r) = r - 1 + r**a - r + 0. Let w be 4 + (-2)/(2/1). Let f(i) = -2*i**2 - 2*i + 4. Calculate w*n(u) + f(u).\n | u**2 - 2*u + 1\n | ibivibiv/math_instruct | |
Simplify -2 + 4*(-1 + sqrt(637)) - ((sqrt(156) - (sqrt(156) - (sqrt(156) - sqrt(156)*-2)*6))/sqrt(12) + -4).\n | -2 + 10*sqrt(13)\n | ibivibiv/math_instruct | |
Suppose -5*p - 2*p = -119. Let f = p + -15. Suppose -2 + 47 = 2*m + x, f*m = 3*x + 65. What is the tens digit of m?\n | 2\n | ibivibiv/math_instruct | |
Solve -12480 = -765903*z + 766423*z for z.\n | -24\n | ibivibiv/math_instruct | |
How many minutes are there between 9:34 AM and 10:15 AM?\n | 41\n | ibivibiv/math_instruct | |
Let l = 51 - 51.00054. Round l to four dps.\n | -0.0005\n | ibivibiv/math_instruct | |
Is 400043 a composite number?\n | True\n | ibivibiv/math_instruct | |
-2230332232 (base 5) to base 13\n | -10396c7\n | ibivibiv/math_instruct | |
Let v(i) = 13*i + 294. Let a be v(-22). What is the nearest to -0.1 in a, -1, 1/4?\n | 1/4\n | ibivibiv/math_instruct | |
Let u(v) = v - 10. Let h(i) = -i + 8. Let j(g) = 4*h(g) + 3*u(g). What is j(2)?\n | 0\n | ibivibiv/math_instruct | |
Let a = -815/24 + 5801/168. What is the closest to 2 in a, -408, 1?\n | 1\n | ibivibiv/math_instruct | |
Sort 2, -1, -3.6, 0.2.\n | -3.6, -1, 0.2, 2\n | ibivibiv/math_instruct | |
Let f(n) = 24*n + 318. Give f(-13).\n | 6\n | ibivibiv/math_instruct | |
Does 72 divide 3512?\n | False\n | ibivibiv/math_instruct | |
Differentiate 1084*p**3*t + p**3 + 1811*t wrt p.\n | 3252*p**2*t + 3*p**2\n | ibivibiv/math_instruct | |
Two letters picked without replacement from uuuuruuiluuu. Give prob of picking 2 u.\n | 6/11\n | ibivibiv/math_instruct | |
Suppose -2*c**5/3 + 104*c**4/3 + 2*c**3/3 - 104*c**2/3 = 0. What is c?\n | -1, 0, 1, 52\n | ibivibiv/math_instruct | |
Let r(h) = 12492*h - 35*h**5 - 20*h**4 - 12492*h. Let q(s) = -9*s**5 - 5*s**4. Let d(n) = 15*q(n) - 4*r(n). Factor d(u).\n | 5*u**4*(u + 1)\n | ibivibiv/math_instruct | |
Let n be 4*1/(-7) + 3775/175. What is the highest common divisor of 1701 and n?\n | 21\n | ibivibiv/math_instruct | |
Does 17 divide 1199183?\n | False\n | ibivibiv/math_instruct | |
Convert 0.9397195 minutes to microseconds.\n | 56383170\n | ibivibiv/math_instruct | |
Suppose -8 = 4*g, 3*b = -9*g + 4*g - 1. Suppose b*n = n. Suppose -5*o + 12 = 3*u - 13, 0 = -3*o + 6. Solve 5*a = -5*f, -5*a = 4*f - n*f - u for a.\n | 5\n | ibivibiv/math_instruct | |
Sort -1, -827, -5, 87 in ascending order.\n | -827, -5, -1, 87\n | ibivibiv/math_instruct | |
Solve -3 = o - 10*w + 11*w, 3*w = 3*o + 15 for o.\n | -4\n | ibivibiv/math_instruct | |
Product of 0.5 and -33.\n | -16.5\n | ibivibiv/math_instruct | |
b"What is the th term of 13, 30, 61, 112, 189, 298?\n" | b**3 + b**2 + 7*b + 4\n | ibivibiv/math_instruct | |
Let t = 6358.284 + -6327. Round t to 1 decimal place.\n | 31.3\n | ibivibiv/math_instruct | |
Collect the terms in 2*s**3 + 8919290*s + 3 - 8919290*s + 0 - 3.\n | 2*s**3\n | ibivibiv/math_instruct | |
Suppose -2*x = 2*u + 1669 + 12401, -2*x = -8. Let k = u - -1020659/145. Let p = -1607/435 + k. Calculate the common denominator of p and 3/11.\n | 33\n | ibivibiv/math_instruct | |
What is the second biggest value in 2/419, 3, -0.4, 13, -0.5, -2/3, -0.115?\n | 3\n | ibivibiv/math_instruct | |
Suppose 19 = -2*x - 3*w, 43 - 16 = -3*x - 3*w. What is the remainder when (4/x)/((-1)/82) is divided by 14?\n | 13\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-87.027 % 45.4818) % (15.1493 % 84.3328) | 3.9366 | ibivibiv/math_instruct | |
Let a(j) = 2*j + 7. Let o(b) = b + 3. Let s = 2 + 0. What is s*a(x) - 5*o(x)?\n | -x - 1\n | ibivibiv/math_instruct | |
Let n be (4/9)/4 - (12 - 715/45). Solve 5*o + 10 = -n*q, 0 = 2*q - o + 71 - 73 for q.\n | 0\n | ibivibiv/math_instruct | |
Let o(m) = -m + 7. Calculate the least common multiple of 8 and o(-3).\n | 40\n | ibivibiv/math_instruct | |
Does 1136 divide 144541232?\n | True\n | ibivibiv/math_instruct | |
Calculate 255/(-714)*8/5.\n | -4/7\n | ibivibiv/math_instruct | |
Let i(r) = 22*r**3 + 3*r**2 - 3*r. Let n(t) = t**3 + t**2 - t. Calculate -i(k) + 3*n(k).\n | -19*k**3\n | ibivibiv/math_instruct | |
Let r(q) = q + 1. Suppose -16 + 32 = 8*t. Let h(x) = x**2 + x + 2. Determine t*h(d) - 3*r(d).\n | 2*d**2 - d + 1\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 38026037?\n | 2\n | ibivibiv/math_instruct | |
Let q = 106 + -80. Find the first derivative of 51*s - 3 + 11*s**4 - q*s - 25*s wrt s.\n | 44*s**3\n | ibivibiv/math_instruct | |
List the prime factors of 368522250.\n | 2, 3, 5, 53, 73, 127\n | ibivibiv/math_instruct | |
Is 4285901 prime?\n | True\n | ibivibiv/math_instruct | |
Let b(q) be the second derivative of -q**3/6 + q**2/2 - 19*q. Let x(h) = -2*h + 2. What is -4*b(a) + x(a)?\n | 2*a - 2\n | ibivibiv/math_instruct | |
What is the units digit of 19470666?\n | 6\n | ibivibiv/math_instruct | |
Let v = -4 - -8. Suppose 0 = -v*p, 4*q + 4*p - 192 = 108. Calculate the greatest common divisor of 30 and q.\n | 15\n | ibivibiv/math_instruct | |
Simplify (p**(-3)/(p*p**(-3/7)))**3*(((p*p/(p*p**(2/3))*p)/p)/p*p*p**(-3/5)*p)**(-50) assuming p is positive.\n | p**(-995/21)\n | ibivibiv/math_instruct | |
Calculate prob of picking 3 j and 1 k when four letters picked without replacement from {j: 3, l: 1, k: 1}.\n | 1/5\n | ibivibiv/math_instruct | |
Let f = 139/3 + -46. Let o = -2.5 - -2.4. Which is the second biggest value? (a) o (b) -4 (c) f\n | a\n | ibivibiv/math_instruct | |
Suppose 4*i - 3*f - 9 = 0, 14 = 4*i + 4*f - 2. Is (82 - i) + 0/1 composite?\n | False\n | ibivibiv/math_instruct | |
Calculate prob of sequence qa when two letters picked without replacement from {g: 2, q: 1, a: 3, f: 1}.\n | 1/14\n | ibivibiv/math_instruct | |
How many millimeters are there in 13/5 of a centimeter?\n | 26\n | ibivibiv/math_instruct | |
Let t(o) = 0*o - 2*o + 0*o - 11 + 5*o + 2*o**2. What is the tens digit of t(5)?\n | 5\n | ibivibiv/math_instruct | |
What is -0.0000017481 rounded to seven decimal places?\n | -0.0000017\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 9493 and 66.\n | 56958\n | ibivibiv/math_instruct | |
Let k be (-3)/(-4)*(-8)/(-2). What is the third derivative of -3*o**4 + 7*o**4 - o**4 + k*o**2 wrt o?\n | 72*o\n | ibivibiv/math_instruct | |
-17 + 7 + 4 + -24 + 4\n | -26\n | ibivibiv/math_instruct | |
What is the closest to -7 in -0.1, -0.5, -0.3, -3426/19?\n | -0.5\n | ibivibiv/math_instruct | |
Solve -l + 1 = 5*c, 2*c - 20*l = -16*l + 18 for c.\n | 1\n | ibivibiv/math_instruct | |
Is 132331111163 prime?\n | True\n | ibivibiv/math_instruct | |
What is the second biggest value in 1/3, -5.082, 3/2?\n | 1/3\n | ibivibiv/math_instruct | |
Let f(q) = -3*q**2 + 2*q - 1. Let y(z) = 41*z**2 - 31*z + 19. Let m(t) = 20*t**2 - 15*t + 9. Let h(j) = -9*m(j) + 4*y(j). What is 11*f(g) - 2*h(g)?\n | -g**2 - 1\n | ibivibiv/math_instruct | |
Suppose -4*d = -a + 4, -2*d + 41 + 89 = 5*a. Let f be (2 + 10/4)/(1/a). Let q = f + -102. Solve -3*u = 4*r + q, -4*r - 22 = -0*r - 5*u for r.\n | -3\n | ibivibiv/math_instruct | |
Let c(t) = -3*t**2 - 15*t. Let s(z) = -1493*z**2. Determine c(s(k)).\n | -6687147*k**4 + 22395*k**2\n | ibivibiv/math_instruct | |
Let s = -13 - -9. Let k = 0.04 - 3.04. What is the third biggest value in -1/5, k, s?\n | s\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-43.5026 - -9.1936 | -34.3090 | ibivibiv/math_instruct | |
What is the derivative of 152917*g**2*x - 2*g*x**3 - 1081698*x**3 wrt g?\n | 305834*g*x - 2*x**3\n | ibivibiv/math_instruct | |
Let w = 11478 - 4971. Find the second derivative of -w + 51*n + 6507 + 15*n**5 wrt n.\n | 300*n**3\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {m: 5, p: 2}. What is prob of sequence pmm?\n | 4/21\n | ibivibiv/math_instruct | |
Which is the nearest to 392? (a) 2 (b) 2/9 (c) 0.05 (d) 1510\n | a\n | ibivibiv/math_instruct | |
Let m = 750/143 - 56/11. Which is the third smallest value? (a) m (b) -3/4 (c) 16 (d) -2/5\n | a\n | ibivibiv/math_instruct | |
Suppose 0*z = -4*z - 12. Suppose -6*d - 6 = -4*d. Let a be 8/6*(-9)/d. Put 5, z, a in descending order.\n | 5, a, z\n | ibivibiv/math_instruct | |
Convert -14d9b (base 16) to base 9.\n | -140132\n | ibivibiv/math_instruct | |
Let s(b) be the third derivative of -b**9/161280 - b**8/13440 - b**7/2688 - b**6/960 - b**5/15 + 7*b**2. Let y(f) be the third derivative of s(f). Factor y(p).\n | -3*(p + 1)**2*(p + 2)/8\n | ibivibiv/math_instruct | |
Let c = 9 - 9. Suppose 3*n - 19 = h, -n + h + 3 = -c*n. Suppose -3*q + 3*a = 3, n*a = 3*a + 25. Is 4 > q?\n | False\n | ibivibiv/math_instruct |
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